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Finding the Third Proportional to 10,563,210 and 23,143,927.50

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Solution

The third proportional to 10,563,210 and 23,143,927.50 is: 50,708,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563,210 : 23,143,927.50 = 23,143,927.50 : x
  2. Step 2: Convert to fraction form
    10,563,210/23,143,927.50 = 23,143,927.50/x
  3. Step 3: Cross multiply
    10,563,210x = 23,143,927.50 × 23,143,927.50
  4. Step 4: Simplify right side
    10,563,210x = 535,641,380,125,256.25
  5. Step 5: Solve for x
    x = 535,641,380,125,256.25/10,563,210
  6. Step 6: Final answer
    x = 50,708,201.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.